- #1
ehrenfest
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Zwiebach page 36
a)Give the Lorentz transformations for the components a_mu of a vector under a boost along the x^1 axis.
[tex]a'_0 = -a_0 \gamma + a_1 \gamma \beta [/tex]
[tex]a'_1^ = -a_0 \gamma \beta + a_1 \gamma[/tex]
and 2 and 3 are the same.
b) Show that the objects
[tex] \partial/\partial x^\mu[/tex] transform under a boost along the x^1 axis in the same way as the [tex]a_\mu[/tex] in (a) do
Note the upper and lower indices.
Firstly is my answer to (a) good? Second, I am not sure how to transform a partial derivative in (b).
a)Give the Lorentz transformations for the components a_mu of a vector under a boost along the x^1 axis.
[tex]a'_0 = -a_0 \gamma + a_1 \gamma \beta [/tex]
[tex]a'_1^ = -a_0 \gamma \beta + a_1 \gamma[/tex]
and 2 and 3 are the same.
b) Show that the objects
[tex] \partial/\partial x^\mu[/tex] transform under a boost along the x^1 axis in the same way as the [tex]a_\mu[/tex] in (a) do
Note the upper and lower indices.
Firstly is my answer to (a) good? Second, I am not sure how to transform a partial derivative in (b).